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6
MCQ (Single Correct Answer)

A hockey player is moving northward and suddenly turns westward with the same speed to avoid an opponent. The force that acts on the player is

A
frictional force along westward
B
muscle force along southward
C
frictional force along south-West
D
muscle force along south-West
7
MCQ (Single Correct Answer)

A body of mass 2 kg travels according to the law $$x(t)=p t+q t^2+r t^3$$ where, $$q=4 \mathrm{~ms}^{-2}, p=3 \mathrm{~ms}^{-1}$$ and $$r=5 \mathrm{~ms}^{-3}$$. The force acting on the body at $$t=2 \mathrm{~s}$$ is

A
136 N
B
134 N
C
158 N
D
68 N
8
MCQ (Single Correct Answer)

A body with mass 5 kg is acted upon by a force $$\mathbf{F}=(-3 \hat{\mathbf{i}}+4 \hat{\mathbf{j}}) \mathrm{N}$$. If its initial velocity at $$t=0$$ is $$v=(6 \hat{\mathbf{i}}-12 \hat{\mathbf{j}}) \mathrm{ms}^{-1}$$, the time at which it will just have a velocity along the $$Y$$-axis is

A
never
B
10 s
C
2 s
D
15 s
9
MCQ (Single Correct Answer)

A car of mass $$m$$ starts from rest and acquires a velocity along east, $$\mathbf{v}=v \hat{\mathbf{i}}(v>0)$$ in two seconds. Assuming the car moves with uniform acceleration, the force exerted on the car is

A
$$\frac{m v}{2}$$ eastward and is exerted by the car engine
B
$$\frac{m v}{2}$$ eastward and is due to the friction on the tyres exerted by the road
C
more than $$\frac{m v}{2}$$ eastward exerted due to the engine and overcomes the friction of the road
D
$$\frac{m v}{2}$$ exerted by the engine
10
MCQ (Multiple Correct Answer)

The motion of a particle of mass $$m$$ is given by $$x=0$$ for $$t<0$$ s, $$x(t)=A \sin 4 \pi t$$ for $$00)$$, and $$x=0$$ for $$t>(1 / 4) \mathrm{s}$$. Which of the following statements is true?

A
The force at $$t=(1 / 8)$$ s on the particle is $$-16 \pi^2 \mathrm{~A}-\mathrm{m}$$
B
The particle is acted upon by on impulse of magnitude $$4 \pi^2 \mathrm{~A}-\mathrm{m}$$ at $$t=0 \mathrm{~s}$$ and $$t=(1 / 4) \mathrm{s}$$
C
The particle is not acted upon by any force
D
The particle is not acted upon by a constant force
E
There is no impulse acting on the particle